At a swim meet, Dillon dives from a diving board and his position above the water is represented by the equation h(t) = -2t^2- 7t+25 where t represents time in seconds and h(t) the height in meters, Dillon was investigating the time it takes him to enter the water after making the jump from the diving board. he completed the square to find the solution. Before getting the solution he got the following equation (T-H)^2=249/16

WHAT IS THE VALUE OF H?

HOW MUCH TIME DOES IT TAKES TO DILON TO ENTER THE WATER AFTER MAKING THE JUMP FROM DIVING BOARD ? ROUND THE ANSWER TO THE NEAREST TENTH

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?